A362586 Triangle read by rows, T(n, k) = A094088(n) * binomial(n, k).

1, 1, 1, 7, 14, 7, 121, 363, 363, 121, 3907, 15628, 23442, 15628, 3907, 202741, 1013705, 2027410, 2027410, 1013705, 202741, 15430207, 92581242, 231453105, 308604140, 231453105, 92581242, 15430207, 1619195761, 11334370327, 34003110981, 56671851635, 56671851635, 34003110981, 11334370327, 1619195761

Offset: 0

Author

Peter Luschny, Apr 26 2023

Keywords

• nonn
• tabl

Examples

			[0]      1;
[1]      1,       1;
[2]      7,      14,       7;
[3]    121,     363,     363,     121;
[4]   3907,   15628,   23442,   15628,    3907;
[5] 202741, 1013705, 2027410, 2027410, 1013705, 202741;
		

Crossrefs

Family of triangles: A055372 (m=0, Pascal), A362585 (m=1, Fubini), this sequence (m=2, Joffe), A362849 (m=3, A278073).

Cf. A094088 (column 0 and main diagonal), A362587 (row sums).

Programs

SageMath

# uses[TransOrdPart from A362585]
def A362586(n) -> list[int]: return TransOrdPart(2, n)
for n in range(6): print(A362586(n))